Math::BigInt continued

At this point, Math::BigInt is working, modulo a few issues with meta-operators that seem to revolve around Rakudo bugs. I have implementations of the basic operators and comparison operators, though they probably could use some more tests. I took sorear++’s suggestion to use postfix L as the shortcut for creating BigInts. That lets you say things like

> my @fib := 1L, 1L, * + * ... *;
> say @fib[200];
453973694165307953197296969697410619233826

Much nicer than the code in my last blog post.

The catch here is that these new operators don't work properly with Rakudo's meta-ops:

> say [*] 1L .. 40L;
8.15915283247898e+47

The result should be a much longer integer rather than a Num, like this:

> say reducewith(&infix:<*>, 1L .. 40L);  # this is what [*] should be doing internally
815915283247897734345611269596115894272000000000

But [*] doesn't see our new operators, so it calls the Real version of the operator, which in turn calls Math::BigInt.Bridge. That creates a Num version of the BigInt that Rakudo knows how to multiply, though of course, a lot of precision is lost in the process.

As a different approach to trying to meta-ops to work, I've also added L+ and L* operators. The idea was that these do BigInt calculations even if both of their arguments are regular Ints:

> say reducewith(&infix:<L*>, 1 .. 40); 
815915283247897734345611269596115894272000000000

Unfortunately, [L*] still doesn't work:

> [L*] 1..40;
Could not find sub &infix:<L*>

Sigh.

Next up: Cleaning this up and adding it to the ecosystem. Math::FatRat. And talking with pmichaud about how to add arbitrary precision Ints directly into Rakudo.

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